A person walks along the line A'B' of the large 10 M wide plack moving...
Introduction:
In this scenario, a person is walking along a plank that is moving parallel to its length. The plank is 10 meters wide and is moving at a speed of 2 meters per second. The person walks from one end of the plank to the other and then steps onto the ground at point C.
Explanation:
1. Initial Conditions:
- The person is standing on the line A'B' of the large plank.
- The plank is moving at a constant speed of 2 meters per second.
- The person starts walking in a direction parallel to the length of the plank.
2. Motion along the Plank:
- As the person walks along the plank, they maintain a constant speed of 2 meters per second.
- The plank is also moving at a speed of 2 meters per second, so the person's motion with respect to the plank appears to be stationary.
- This means that from the perspective of the person, they are not moving relative to the plank.
3. Reaching the Opposite Ends:
- After some time, the person reaches the opposite end of the plank.
- At this point, the person steps off the plank onto the ground at point C.
- The person's motion with respect to the ground is now in the same direction as the plank's motion.
4. Motion on the Ground:
- Once the person is on the ground, they continue to move at a speed of 2 meters per second.
- Since the person's motion is now in the same direction as the plank's motion, their speed with respect to the plank remains 2 meters per second.
- However, their speed with respect to the ground is now the vector sum of their speed with respect to the plank and the plank's speed.
- The person's speed with respect to the ground is therefore 4 meters per second.
Conclusion:
In this scenario, the person walks along a moving plank and steps off onto the ground at point C. The person's motion with respect to the plank appears to be stationary, while their motion with respect to the ground is the vector sum of their speed with respect to the plank and the plank's speed.